It sounds as though you haven't yet had the baby. If that's the case, then it's unlikely he would have to pay child support. You just wouldn't ask for it. However, you should know that the Child Support Agency can also request a hearing on child support. This usually happens if the baby is receiving government benefits.
If child support has already been ordered, it doesn't matter that your boyfriend lives with you. An order is an order. In that case, you would have to go the CSEA and ask for a modification of his child support order.
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Part of the chlid support order is the "cash medical support" component. This is the amount that is paid to the county Dept. of Health and Human Services to partially reimburse for the child being on a public health services card. If the child is covered by private health insurance and you are not receiving other governmental benefits, you can refuse child support and they will terminate the order, otherwise he will have to pay child support.
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